Ax-Grothendieck theorem

专有名词

英文释义

专有名词
  1. A result about injectivity and surjectivity of polynomials, often given as this special case: If P is an injective polynomial function from an n-dimensional complex vector space to itself then P is bijective. The full theorem generalizes to any algebraic variety over an algebraically closed field.

词形变化

the Ax-Grothendieck theorem canonical

词源

Proved independently by James Ax and Alexander Grothendieck.
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